{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x504 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from sklearn.decomposition import PCA\n",
    "\n",
    "\n",
    "def lsobj(X, y, w):\n",
    "    h = X @ w\n",
    "    J = (h - y).T @ (h - y)\n",
    "    return J\n",
    "\n",
    "\n",
    "# 先将西瓜数据集降到2维 然后做最小二乘\n",
    "X = np.array([\n",
    "    [1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0.697, 0.460],\n",
    "    [2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0.774, 0.376],\n",
    "    [3, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0.666, 0.091],\n",
    "    [4, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0.245, 0.057], ])\n",
    "y = np.array([1, 1, 0, 0])\n",
    "y = y - y.mean()  # 类别标记中心化方便作图显示\n",
    "X = PCA(n_components=2).fit_transform(X)\n",
    "\n",
    "low_x, high_x, low_y, high_y = -0.45, 0.15, -0.4, 0.2  # 显示范围\n",
    "xx, yy = np.meshgrid(np.linspace(low_x, high_x, 500), np.linspace(low_y, high_y, 500))\n",
    "\n",
    "zz_l1 = np.array([np.abs(xi) + np.abs(yi) for xi, yi in zip(np.ravel(xx), np.ravel(yy))])  # l1范数球\n",
    "zz_l2 = np.array([xi**2 + yi**2 for xi, yi in zip(np.ravel(xx), np.ravel(yy))])  # l1范数球\n",
    "zz_ls = np.array([lsobj(X, y.reshape(-1, 1), np.array([t0, t1]).reshape(-1, 1))\n",
    "                  for t0, t1 in zip(np.ravel(xx), np.ravel(yy))])  # 最小二乘目标函数\n",
    "Z_l1, Z_l2, Z_ls = zz_l1.reshape(xx.shape), zz_l2.reshape(xx.shape), zz_ls.reshape(xx.shape)\n",
    "\n",
    "fig = plt.figure(figsize=(16, 7))\n",
    "\n",
    "levels_ls = [1.2**x for x in [-10, -8, -6]]\n",
    "levels_l1 = [1.9**x for x in [-5, -4, -3]]\n",
    "levels_l2 = [2.2**x for x in [-7, -6, -5]]\n",
    "\n",
    "with plt.style.context('Solarize_Light2'):\n",
    "\n",
    "    ax = fig.add_subplot(1, 2, 1)\n",
    "    ax.contour(xx, yy, Z_l1, levels=levels_l1)\n",
    "    ax.contour(xx, yy, Z_ls, levels=levels_ls)\n",
    "\n",
    "    ax = fig.add_subplot(1, 2, 2)\n",
    "    ax.contour(xx, yy, Z_l2, levels=levels_l2)\n",
    "    ax.contour(xx, yy, Z_ls, levels=levels_ls)\n",
    "\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "e7370f93d1d0cde622a1f8e1c04877d8463912d04d973331ad4851f04de6915a"
  },
  "kernelspec": {
   "display_name": "Python 3.9.7 64-bit",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
